Finding the Third Proportional to 2,533.78 and 4,012.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.78 : 4,012.03 = 4,012.03 : x
2. Step 2: Convert to fraction form
   2,533.78/4,012.03 = 4,012.03/x
3. Step 3: Cross multiply
   2,533.78x = 4,012.03 × 4,012.03
4. Step 4: Simplify right side
   2,533.78x = 16,096,394.75
5. Step 5: Solve for x
   x = 16,096,394.75/2,533.78
6. Step 6: Final answer
   x = 6,352.72